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Computing hypergraph Ramsey numbers by using quantum circuit

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Abstract

Gaitan and Clark (Phys Rev Lett 108:010501, 2012) have recently shown a quantum algorithm for the computation of the Ramsey numbers using adiabatic quantum evolution. We present a quantum algorithm to compute the two-color Ramsey numbers for \(r\)-uniform hypergraphs by using the quantum counting circuit.

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Acknowledgments

This work was financially supported by the National Natural Science Foundation of China under Grant No. 61170178. This work also was supported by Tianjin Key Laboratory of Cognitive Computing and Application

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Authors and Affiliations

  1. School of Computer Science and Technology, Tianjin University, Tianjin, 300072, China

    Ri Qu, Zong-shang Li, Juan Wang, Yan-ru Bao & Xiao-chun Cao

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  1. Ri Qu
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  2. Zong-shang Li
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  3. Juan Wang
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  4. Yan-ru Bao
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  5. Xiao-chun Cao
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Corresponding author

Correspondence to Yan-ru Bao.

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Qu, R., Li, Zs., Wang, J. et al. Computing hypergraph Ramsey numbers by using quantum circuit. Quantum Inf Process 12, 2487–2496 (2013). https://doi.org/10.1007/s11128-013-0541-9

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